Search questions
Use text search or combine filters to find exactly the questions you need.
Class 10 · Mathematics
→If n(A ∪ B ∪ C) = 140, exactly one set has 65 elements and exactly two sets have 51 elements, what is n(A ∩ B ∩ C)?
Class 10 · Mathematics
→In a Venn diagram, n(A ∩ B) = 14 and n(A ∩ B ∩ C) = 6. How many elements are only in A ∩ B?
Class 10 · Mathematics
→If n(A − B) = 18, n(B − C) = 25, and n(C − A) = 20, can n(A ∪ B ∪ C) be determined uniquely from only these data?
Class 10 · Mathematics
→If n(A) = 30, n(B) = 28, and n(A ∪ B) = 52, what is n(A − B)?
Class 10 · Mathematics
→If n(A) = 46 and n(B) = 39, what is the maximum possible value of n(A ∩ B)?
Class 10 · Mathematics
→If n(U) = 100, n(A) = 64, and n(B) = 58, what is the minimum possible value of n(A ∪ B)?
Class 10 · Mathematics
→If n(U) = 60, n(A) = 35, and n(B) = 32, what is the minimum possible value of n(A ∩ B)?
Class 10 · Mathematics
→If A and B are disjoint, then what is (A ∪ B)' equal to?
Class 10 · Mathematics
→If A ∩ B = ∅ and B ∩ C = ∅, must A ∩ C = ∅?
Class 10 · Mathematics
→If n(A ∪ B) = n(U), which region is empty in the Venn diagram?
Class 10 · Mathematics
→Out of 70 students, 45 study Hindi, 40 study English, and 30 study both languages. How many students study at least one of the two languages?
Class 10 · Mathematics
→In a survey of 160 people, 92 have a mobile phone, 78 have a laptop, and 51 have both. How many people have exactly one of the two devices?
Class 10 · Mathematics
→If n(A ∪ B) = 84 and n(A ∩ B) = 27, what is n(A − B) + n(B − A)?
Class 10 · Mathematics
→In a Venn diagram, 14 elements lie outside both A and B, 22 lie only in A, 18 lie only in B, and 11 lie in both A and B. What is n(U)?
Class 10 · Mathematics
→Let U = {1, 2, ..., 50}. If A is the set of multiples of 4 in U and B is the set of multiples of 6 in U, what is n(A ∩ B)?
Class 10 · Mathematics
→Let U = {1, 2, ..., 30}. If A is the set of multiples of 2 in U and B is the set of multiples of 5 in U, what is n(A ∪ B)?
Class 10 · Mathematics
→Let U = {1, 2, ..., 20}, A be the set of prime numbers in U, and B be the set of odd numbers in U. What is A − B?
Class 10 · Mathematics
→Let A = {x ∈ N : x ≤ 12}, B be the set of even natural numbers not exceeding 12, and C be the set of multiples of 3 not exceeding 12. What is n(B ∩ C)?
Class 10 · Mathematics
→If n(A − B) = 2x + 3, n(B − A) = x + 7, n(A ∩ B) = x − 1, and n(A ∪ B) = 45, what is the value of x?
Class 10 · Mathematics
→